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31232213031120 = 2435139936217417
BaseRepresentation
bin1110001100111110100001…
…11101101001100011010000
311002120202210121220101211020
413012133100331221203100
513043202033013443440
6150231514112515440
76402311232342663
oct706372075514320
9132522717811736
1031232213031120
119a51564041212
123605018b4bb80
131457253733aca
1479d90bbcd6da
1539264ca313d0
hex1c67d0f698d0

31232213031120 has 80 divisors (see below), whose sum is σ = 97516406258880. Its totient is φ = 8268672218112.

The previous prime is 31232213031113. The next prime is 31232213031133. The reversal of 31232213031120 is 2113031223213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312322130311202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468075349 + ... + 468142068.

It is an arithmetic number, because the mean of its divisors is an integer number (1218955078236).

Almost surely, 231232213031120 is an apocalyptic number.

31232213031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31232213031120 is an abundant number, since it is smaller than the sum of its proper divisors (66284193227760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31232213031120 is a wasteful number, since it uses less digits than its factorization.

31232213031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936217572 (or 936217566 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31232213031120 its reverse (2113031223213), we get a palindrome (33345244254333).

The spelling of 31232213031120 in words is "thirty-one trillion, two hundred thirty-two billion, two hundred thirteen million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 936217417 1872434834 2808652251 3744869668 4681087085 5617304502 7489739336 9362174170 11234609004 14043261255 14979478672 18724348340 22469218008 28086522510 37448696680 44938436016 56173045020 74897393360 112346090040 130134220963 224692180080 260268441926 390402662889 520536883852 650671104815 780805325778 1041073767704 1301342209630 1561610651556 1952013314445 2082147535408 2602684419260 3123221303112 3904026628890 5205368838520 6246442606224 7808053257780 10410737677040 15616106515560 31232213031120